How many 10cm vinyl tiles are needed to cover a workbench with a surface area of 3.4 square meters?

To determine how many 10 cm vinyl tiles are needed to cover a workbench with a surface area of 3.4 square meters, we first need to convert the area of the workbench from square meters to square centimeters, since the dimensions of the tiles are in centimeters.

1 square meter is equal to 10,000 square centimeters. Therefore, the workbench area of 3.4 square meters can be converted as follows:

3.4 square meters × 10,000 square centimeters/square meter = 34,000 square centimeters.

Next, we need to find the area of one tile. A 10 cm vinyl tile has a surface area of:

10 cm × 10 cm = 100 square centimeters.

Now, to find the number of tiles required, we divide the total area of the workbench by the area of one tile:

34,000 square centimeters ÷ 100 square centimeters/tile = 340 tiles.

The calculation confirms that the total number of tiles needed is 340. However, the question appears to be focused on the total area in square centimeters when considering tiling the entire workbench.

This total area of 34,000 square centimeters indicates that it would take 340 individual tiles of